On the jumping lines of bundles of logarithmic vector fields along plane curves
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Publication:2192684
DOI10.5565/PUBLMAT6422006zbMath1441.14140arXiv1804.06349MaRDI QIDQ2192684
Gabriel Sticlaru, Alexandru Dimca
Publication date: 17 August 2020
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06349
vector bundleplane curvestable bundlelogarithmic vector fieldsJacobian modulesplitting typejumping line
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Singularities in algebraic geometry (14B05) Plane and space curves (14H50) Relations with arrangements of hyperplanes (32S22) Syzygies, resolutions, complexes and commutative rings (13D02) Local complex singularities (32S05)
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Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers, On the Hilbert vector of the Jacobian module of a plane curve, Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves
Cites Work
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- Freeness versus maximal degree of the singular subscheme for surfaces in \(\mathbb {P}^3\)
- The local cohomology of the Jacobian ring
- Syzygies and logarithmic vector fields along plane curves
- Hyperplane arrangements. An introduction
- Stable reflexive sheaves
- Vector bundles on complex projective spaces
- Moduli of vector bundles on the projective plane
- Stable rank-2 vector bundles on \(\mathbb{P}_2\) with \(c_1\) odd
- Stable vector bundles of rank 2 on \(P^ 3\)
- Jacobian ideals, arrangements and the Lefschetz properties
- Free and nearly free curves vs. rational cuspidal plane curves
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- Homology of homogeneous divisors
- On supersolvable and nearly supersolvable line arrangements
- On rational cuspidal plane curves and the local cohomology of Jacobian rings
- The Lefschetz properties
- Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections
- Logarithmic bundles and line arrangements, an approach via the standard construction
- Line arrangements and configurations of points with an unexpected geometric property
- Rees Algebras of Modules
- Splitting types of bundles of logarithmic vector fields along plane curves
- On Some Conjectures About Free and Nearly Free Divisors
- Freeness versus maximal global Tjurina number for plane curves
- Syzygies of Jacobian ideals and defects of linear systems
- Vector Bundles on Algebraic Surfaces